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Finding the Fourth Proportional to 384.52, 578.85 and 351.04

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Solution

The fourth proportional to 384.52, 578.85 and 351.04 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.52 : 578.85 = 351.04 : x
  2. Step 2: Convert to fraction form
    384.52/578.85 = 351.04/x
  3. Step 3: Cross multiply
    384.52x = 578.85 × 351.04
  4. Step 4: Simplify right side
    384.52x = 203,199.37
  5. Step 5: Solve for x
    x = 203,199.37/384.52
  6. Step 6: Final answer
    x = 528.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.